Graduate School of Arts and Sciences Bulletin of Yale University
 
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Applied Mathematics

A. K. Watson Hall, 432.1278
www.cs.yale.edu/appliedmath2/
M.S., M.Phil., Ph.D.

Chair and Director of Graduate Studies
Steven Zucker (AKW 107A, 432.1278, zucker@cs.yale.edu)

Professors
Andrew Barron (Statistics), Donald Brown (Economics), Joseph Chang (Statistics), Ronald Coifman (Mathematics; Computer Science), Gustave Davis (Pathology), Eric Denardo (Operations Research), Stanley Eisenstat (Computer Science), Michael Fischer (Computer Science), John Hartigan (Statistics), Roger Howe (Mathematics), Peter Jones (Mathematics), Ravindran Kannan (Computer Science; Applied Mathematics), Steven Orszag (Mathematics; Applied Mathematics), David Pollard (Statistics), Vladimir Rokhlin (Computer Science; Mathematics), Herbert Scarf (Economics), Martin Schultz (Computer Science), Mitchell Smooke (Mechanical Engineering; Applied Physics), Daniel Spielman (Computer Science), Katepalli Sreenivasan (Adjunct, Mechanical Engineering), Steven Zucker (Computer Science; Biomedical Engineering)

Associate Professor
James Aspnes (Computer Science)

Assistant Professors
John Emerson (Statistics), Hannes Leeb (Statistics), Mauro Maggioni, Sekhir Tatikonda (Electrical Engeering)

Gibbs Assistant Professors
Yoel Shkolnisky, Amit Singer, Mark Tygert

Fields of Study

The graduate program in Applied Mathematics comprises mathematics and its applications to a range of areas, to the mathematical sciences (including computer science and statistics), and to the other sciences and engineering. Topics covered by the program include classical and modern applied harmonic analysis, linear and nonlinear partial differential equations, numerical analysis, scientific computing and applications, discrete algorithms, combinatorics and combinatorial optimization, graph algorithms, geometric algorithms, discrete mathematics and applications, statistical theory and applications, probability theory and applications, information theory, econometrics, financial mathematics, statistical computing, and applications of mathematical and computational techniques to fluid mechanics, combustion, and other scientific and engineering problems.

Special Requirements for the Ph.D. in Applied Mathematics

All students are required to: (1) complete twelve term courses (including reading courses) at the graduate level, at least two with Honors grades; (2) pass a qualifying examination on their general applied mathematical knowledge (in algebra, analysis, and probability and statistics) by the end of their second year; (3) submit a dissertation prospectus; (4) participate in the instruction of undergraduates; (5) be in residence for at least three years; and (6) complete a dissertation that clearly advances understanding of the subject it considers. The normal time for completion of the Ph.D. program is four years.

Requirement (1) normally includes four core courses in each of the methods of applied analysis, numerical computation, algorithms, and probability; these should be taken during the first year. The qualifying examination is normally taken by the end of the third term and will test knowledge of the core courses as well as more specialized topics. The thesis is expected to be independent work, done under the guidance of an adviser. This adviser should be contacted not long after the student passes the qualifying examinations. A student is admitted to candidacy after completing requirements (1)-(5) and obtaining an adviser.

Master’s Degrees

M. Phil. See Degree Requirements.
M.S. (en route to the Ph.D.). The M.S. degree is a terminal degree and is not awarded en route to the Ph.D.
Master’s Degree Program. Students may also be admitted to a terminal master’s degree program directly. This program is normally completed in one year, but a part-time program may be spread over as many as four years. To quality for the M.S., the student must pass eight graduate-level courses. Courses taken as part of the M.S. program must be pre-approved by the director of graduate studies to ensure that a suitable distribution of topics is covered.

Honors Requirement

Students must meet the Graduate School’s Honors requirement by the end of the fourth term of full-time study.

Program materials and additional information concerning degrees offered and admissions requirements are available upon request to the Graduate School of Arts and Sciences, Yale University, PO Box 208323, New Haven CT 06520-8323.

Next: Applied Physics